Practise IB Maths AI SL 5.4 Tangents and Normals with this calculus worksheet on derivatives, gradients and equations of straight lines. Students apply the derivative to find the gradient of a curve at a point, then use point–slope form to write tangent equations and perpendicular gradients to find normal equations.
Structured questions develop both method and understanding: differentiate functions, substitute a given x-value, identify points on curves, form tangent and normal equations, and check results with graphing technology. The worksheet supports class practice, homework, revision and preparation for IB Mathematics: Applications and Interpretation SL Topic 5 calculus.
Pair this worksheet with the companion resources:
Key topics: tangent lines, normal lines, derivative as gradient, point–slope form, perpendicular gradients and curve sketching.
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£3.00